docs(Capcitor): update capacitor index to align with Version 3 (#16287)

**Only merge on day 13.**

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## DESCRIBE YOUR PR

With the introduction of Capacitor V3, there will be new changes that
users will need to do. This PR updates the correct fields that require
user changes.

## IS YOUR CHANGE URGENT?  

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- [ ] Urgent deadline (GA date, etc.): <!-- ENTER DATE HERE -->
- [x] Other deadline: 13/02/26
- [ ] None: Not urgent, can wait up to 1 week+

## SLA

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- Please give the docs team up to 1 week to review your PR unless you've
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Thanks in advance for your help!

## PRE-MERGE CHECKLIST

*Make sure you've checked the following before merging your changes:*

- [ ] Checked Vercel preview for correctness, including links
- [ ] PR was reviewed and approved by any necessary SMEs (subject matter
experts)
- [ ] PR was reviewed and approved by a member of the [Sentry docs
team](https://github.com/orgs/getsentry/teams/docs)

## LEGAL BOILERPLATE

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## EXTRA RESOURCES

- [Sentry Docs contributor guide](https://docs.sentry.io/contributing/)

Author: lucas-zimerman

docs/platforms/javascript/guides/capacitor/index.mdx

@@ -298,12 +298,10 @@ Sentry.init(
     dist: "<dist>",
     // ___PRODUCT_OPTION_START___ logs
     // Logs requires @sentry/capacitor 2.0.0 or newer.
-    _experiments: {
-      enableLogs: true,
-      beforeSendLog: (log) => {
-        // Add custom filters to logs.
-        return log;
-      }
+    enableLogs: true,
+    beforeSendLog: (log) => {
+      // Add custom filters to logs.
+      return log;
     },
     // ___PRODUCT_OPTION_END___ logs
     integrations: [
@@ -361,8 +359,16 @@ const app = createApp(App)
 
 Sentry.init(
   {
-    app,
     dsn: "___PUBLIC_DSN___",
+        
+    // Vue specific settings.
+    siblingOptions: {
+      vueOptions: {
+        app: app,
+        attachErrorHandler: false,
+        attachProps: true,
+      },
+    },
 
     // Adds request headers and IP for users, for more info visit:
     // https://docs.sentry.io/platforms/javascript/guides/capacitor/configuration/options/#sendDefaultPii
@@ -374,12 +380,10 @@ Sentry.init(
     dist: "<dist>",
     // ___PRODUCT_OPTION_START___ logs
     // Logs requires @sentry/capacitor 2.0.0 or newer.
-    _experiments: {
-      enableLogs: true,
-      beforeSendLog: (log) => {
-        // Add custom filters to logs.
-        return log;
-      }
+    enableLogs: true,
+    beforeSendLog: (log) => {
+      // Add custom filters to logs.
+      return log;
     },
     // ___PRODUCT_OPTION_END___ logs
     integrations: [
@@ -436,7 +440,6 @@ import * as SentryNuxt from "@sentry/nuxt";
 Sentry.init(
   {
     dsn: "___PUBLIC_DSN___",
-    
     // Adds request headers and IP for users, for more info visit:
     // https://docs.sentry.io/platforms/javascript/guides/capacitor/configuration/options/#sendDefaultPii
     sendDefaultPii: true,
@@ -447,12 +450,10 @@ Sentry.init(
     dist: "<dist>",
     // ___PRODUCT_OPTION_START___ logs
     // Logs requires @sentry/capacitor 2.0.0 or newer.
-    _experiments: {
-      enableLogs: true,
-      beforeSendLog: (log) => {
-        // Add custom filters to logs.
-        return log;
-      }
+    enableLogs: true,
+    beforeSendLog: (log) => {
+      // Add custom filters to logs.
+      return log;
     },
     // ___PRODUCT_OPTION_END___ logs
     integrations: [